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在稳定增长的棉蚜群体中,1,2,3龄蚜量呈几何级数。各龄蚜量比为1,e~λ,e~(2λ)。λ之整系数代表脱皮次数或标准龄周期数。在不同温度下培养的蚜群,经历相等时间可得到不等量的有效积温并完成不等量的龄周期数。此龄同期数可视为发育速度。代入有效积温式可求得发育起点温度和一个龄周期的有效积温(k)。将此理论应用于4龄可得4龄发育速度β。由出生至成蚜出现的总有效积温是k_T=(3+β)k。
In the stable population of cotton aphid population, the first and second instar aphids showed geometric progression. Each age aphid ratio of 1, e ~ λ, e ~ (2λ). The whole coefficient of λ represents the number of peeling or standard age cycles. The aphid population cultured at different temperatures can get unequal amount of effective accumulated temperature and equal number of age cycles after experiencing equal time. The same period of this age can be regarded as the speed of development. Substituting into the effective accumulated temperature equation can obtain the starting temperature of development and the effective accumulated temperature (k) of one-year cycle. Applying this theory to the 4th instar lays the developmental speed of the 4th instar. The total effective accumulated temperature from birth to aphid is k_T = (3 + β) k.